513263212 has 48 divisors (see below), whose sum is σ = 1122412032. Its totient is φ = 199514880.

The previous prime is 513263203. The next prime is 513263213. The reversal of 513263212 is 212362315.

It is not an unprimeable number, because it can be changed into a prime (513263213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153268 + ... + 156580.

It is an arithmetic number, because the mean of its divisors is an integer number (23383584).

Almost surely, 2^513263212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513263212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561206016).

513263212 is an abundant number, since it is smaller than the sum of its proper divisors (609148820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513263212 is a wasteful number, since it uses less digits than its factorization.

513263212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3836 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 513263212 is about 22655.3131075251. The cubic root of 513263212 is about 800.6573825789.

The spelling of 513263212 in words is "five hundred thirteen million, two hundred sixty-three thousand, two hundred twelve".